5. Which is the best first step to solve 5x+12x = 40 by completing the square?

A. Subtract 40 from both sides.

B. Divide all terms by 12.

C. Divide all terms by 5

D. Divide 12 by 2

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ2


Related Questions

i need some help asap no rocky

Answers

Answer:

This is way out of my level sorry. Thanks me

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

math

1. The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?


2. At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

Please need right now

Answers

Answer:

1. The new temperature would be 13°C (-2+15)

2. The temperature rose 15°C (9-(-6))

Can anyone help me out? That would be greatly appreciated!

Answers

B. SAS

Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.

Answer:

im not really sure but i believe the answer is B.SAS.

i also know It Not C.HS and D. non of the above.

Which number is bigger: 1.58 or 1.025

Answers

Answer:

1.58 is bigger than 1.025

Step-by-step explanation:

Answer:

1.58 is greater

Step-by-step explanation:

because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0

ples halp ples tysm....

Answers

10

Edge 2020-2021 how is everyone’s day

PLEASE HELP I AM STRUGGLING

Answers

Answer:

y=-2x+2

Step-by-step explanation:

the slope intercept form is y=mx+b

slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be

(14-2)/(-6-0). which out simplify to -2.

y-intercept - the y-intercept is given in one of the points (0,2).

HELP ME PLEASEEEEEE​

Answers

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

Sandra's Bike Club had 360 members last month. Each member pays a $12 membership fee per month.
This month, 27 new members joined and 34 members left the club. How much money will Sandra collect
this month in membership fees?

Answers

Answer:

$4,236

Step-by-step explanation:

34-27=7

360-7=353

353(12)=4,236

Which graph shows the solution to the inequality -2x+10>20

Answers

Answer:

+20 bc 2x10= 20 so +20>20

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

Answers

a

0

=

4

a

i

=

a

i

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

Theresa finds a shirt on sale at the store. The regular price of the shirt is $32.00. But there is a 20% off sale today. Theresa remembered that there is 8.1% tax on the sale price of the shirt. What is her final cost?

Question 10 options:

$28.92


$27.67


$29.31


$31.00

Answers

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%

what is 10:40 plus 7:15 in time?​

Answers

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

ILL GIVE BRAINLIEST IF YOU CAN GUESS MY AGE

Answers

Answer:

sixteen i guess?

Step-by-step explanation:

abcdefghijklmnop

Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum

Answers

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

1)
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many
hours does it take to use one gallon?
A)
B)
gallon per hour, 1 hour
gallon per hour, 3 hours
3 gallons per hour, 5 hour
gallon per hour,
1 hour
D

Answers

Answer:

B

Step-by-step explanation:An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many

hours does it take to use one gallon?

A)

b)

gallon per hour, 1 hour

gallon per hour, 3 hours

3 gallons per hour, 5 hour

gallon per hour,

1 hour

D

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

Whoever answers gets brainlist!

Answers

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]

Which simplifies to:

[tex] \frac{21}{6} + \frac{30}{6} [/tex]

When added is:

[tex] \frac{51}{6} [/tex]

When transformed back into a Mixed Fraction:

[tex]8 \frac{3}{6} [/tex]

Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number(y) she selects 100 households in her town randomly and examined the data what is the best estimate of the correlation coefficient between x and y

Answers

Answer:

it should be -0.5

Step-by-step explanation:

what is the lenght of AB

Answers

Answer:

Uh I need more information to answer that.

Step-by-step explanation:

u only posted this: what is the lenght of AB. That isn't even how u spell length,  

AB could be anything.

Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2

Answers

Answer is 68x bud thanks for lettting me ANWSER

hellllppp please help me

Answers

Answer:

[tex]F' = (-3,-3)[/tex]

[tex]G' = (-3,3)[/tex]

[tex]H' = (6,-3)[/tex]

Step-by-step explanation:

Given

The attached graph

[tex]Scale\ Factor = 1\frac{1}{2}[/tex]

Required

Determine the coordinates of F'G'H'

First, we need to get the coordinate of F, G and H from the graph

[tex]F = (-2,-2)[/tex]

[tex]G = (-2,2)[/tex]

[tex]H = (4,-2)[/tex]

The dilated coordinate is then calculated as:

[tex](FGH)' = (FGH) * Scale\ Factor[/tex]

This gives:

[tex]F' = (-2,-2) * 1\frac{1}{2}[/tex]

[tex]F' = (-2* 1\frac{1}{2},-2* 1\frac{1}{2})[/tex]

[tex]F' = (-3,-3)[/tex]

[tex]G' = (-2,2) * 1\frac{1}{2}[/tex]

[tex]G' = (-2 * 1\frac{1}{2},2 * 1\frac{1}{2})[/tex]

[tex]G' = (-3,3)[/tex]

[tex]H' = (4,-2) * 1\frac{1}{2}[/tex]

[tex]H' = (4 * 1\frac{1}{2},-2 * 1\frac{1}{2})[/tex]

[tex]H' = (6,-3)[/tex]

Can some one help please!!!!!!!

Answers

Answer:

yes it's easy

Step-by-step explanation:

y=-2x

it may help you to understand.

Does this graph represent a function? Why or why not?

Answers

No because I ain’t no simp!!

Help. I don’t understand this.

Answers

Answer:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

f(x)=1 x=4

Step-by-step explanation:

f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.

WILL MARK AS BRAINLIEST

Answers

Answer:

C!

Step-by-step explanation:

I Got it correct! I hope you have a wondeful weekend and Day!!!

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 12% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?

Answers

Answer:

6 cans will be defective

Step-by-step explanation:

do 50x0.12

5 - 3 1/4
This is Fractions

Answers

Your answer would again be 1 3/4

At 4 o’clock, Devon called 6 friends to let them know that the weather forecast called for snow. At 6 o’clock, each of those friends called 6 other friends. At 8 o’clock, each of those friends called 6 of their friends.

Answers

Answer:

18

Step-by-step explanation:

I guesss

evaluate 8 times (2-3) to the 2 power divided by 4

Answers

Answer:

Step-by-step explanation

8 x (2 - 3)^2 /4
8 x (-1)^2 /4
8 x 2 /4
16/4
4

The answer is 4

This is Amy's box of candies.
She has already eaten 6 of them.

What fraction of the candies has Amy eaten?

Answers

Answer:

[tex] \frac{6}{9} [/tex]

or

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.

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